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Explore the black hole stability problem in this advanced lecture on mathematical general relativity. Delve into the linear wave equation as a model problem, examining the main challenges in its analysis. Discover key results for both extremal and subextremal cases, and understand the significance of Newman-Penrose constants. Gain insights into the latest non-linear findings in this field. Part of IPAM's Mathematical and Computational Challenges in the Era of Gravitational Wave Astronomy Tutorial, this 76-minute talk by Stefanos Aretakis from the University of Toronto offers a deep dive into cutting-edge research in gravitational physics.
